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Finding the Fourth Proportional to 215,843.40, 324,056.70 and 137,111.40

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Solution

The fourth proportional to 215,843.40, 324,056.70 and 137,111.40 is: 205,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,843.40 : 324,056.70 = 137,111.40 : x
  2. Step 2: Convert to fraction form
    215,843.40/324,056.70 = 137,111.40/x
  3. Step 3: Cross multiply
    215,843.40x = 324,056.70 × 137,111.40
  4. Step 4: Simplify right side
    215,843.40x = 44,431,867,816.38
  5. Step 5: Solve for x
    x = 44,431,867,816.38/215,843.40
  6. Step 6: Final answer
    x = 205,852.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.